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Finding the Fourth Proportional to 1,680.91, 2,522.00 and 585.99

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Solution

The fourth proportional to 1,680.91, 2,522.00 and 585.99 is: 879.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.91 : 2,522.00 = 585.99 : x
  2. Step 2: Convert to fraction form
    1,680.91/2,522.00 = 585.99/x
  3. Step 3: Cross multiply
    1,680.91x = 2,522.00 × 585.99
  4. Step 4: Simplify right side
    1,680.91x = 1,477,868.24
  5. Step 5: Solve for x
    x = 1,477,868.24/1,680.91
  6. Step 6: Final answer
    x = 879.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.